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Finding the Fourth Proportional to 2,108.80, 3,040.56 and 2,108.80

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Solution

The fourth proportional to 2,108.80, 3,040.56 and 2,108.80 is: 3,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.80 : 3,040.56 = 2,108.80 : x
  2. Step 2: Convert to fraction form
    2,108.80/3,040.56 = 2,108.80/x
  3. Step 3: Cross multiply
    2,108.80x = 3,040.56 × 2,108.80
  4. Step 4: Simplify right side
    2,108.80x = 6,411,932.93
  5. Step 5: Solve for x
    x = 6,411,932.93/2,108.80
  6. Step 6: Final answer
    x = 3,040.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.